Question

Решите систему:3x-y=72y-3x=-11помогите пожалуйста

Answer 1

Реши подстановкой. Из первого уравнения получаем y=3x-7, подставляем его во второе уравнение получаем 2(3х-7)-3х=-11
6х-14-3х=-11
3х=14-11
3х=3
х=1
Потом что бы найти y подставляем найденный х в любое из двух уравнений
3*1-y=7
y=3-7
у=-4
Ответ (1:-4)

Answer 2

Solving the System of Equations

To solve the system of equations:

3x - y = 7 (Equation 1) y - 3x = -11 (Equation 2)

We can use the method of substitution or elimination. Let's use the method of elimination.

To eliminate the variable "y," we can add Equation 1 and Equation 2 together:

(3x - y) + (y - 3x) = 7 + (-11)

Simplifying the equation:

3x - y + y - 3x = -4

The "3x" and "-3x" terms cancel each other out:

-4 = -4

This equation is true, which means that the system of equations is dependent. In other words, the two equations represent the same line, and there are infinitely many solutions.

Therefore, any value of "x" will satisfy the system of equations, and the corresponding value of "y" can be calculated using either Equation 1 or Equation 2.

Let's choose Equation 1 to find the value of "y":

3x - y = 7

Rearranging the equation to solve for "y":

y = 3x - 7

Now, we can substitute any value of "x" into this equation to find the corresponding value of "y."

For example, if we choose "x" to be 0:

y = 3(0) - 7 y = -7

So, one possible solution to the system of equations is (x, y) = (0, -7).

Similarly, we can choose any other value of "x" and find the corresponding value of "y."

Please let me know if there's anything else I can help you with!